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Assume and, then boundary value problem has no positive solution.
Then boundary value problem has at least positive solutions satisfying.
Then boundary value problem has at least one positive solution.
The boundary value problem has a singularity at (x=0).
Then boundary value problem has at least two positive solutions, which satisfy (5.1).
The nonlinear fractional differential equation for the multi-point boundary value problem has been studied extensively.
Functional boundary value problem has been studied by several authors [1 7].
The spectrum of the transformed boundary value problem has one extra eigenvalue, in particular.
Our last results corresponds to the case when boundary value problem has no positive solution.
Recently, the research of Lyapunov-type inequalities for fractional boundary value problem has begun.
Hence the eigencondition has roots giving that the boundary value problem has eigenvalues.
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